BI-LIPSCHITZ INVARIANCE OF PLANAR BV- AND W1,1-EXTENSION DOMAINS

Miguel García-Bravo; Tapio Rajala; Zheng Zhu

doi:10.1090/proc/15878

BI-LIPSCHITZ INVARIANCE OF PLANAR BV- AND W1,1-EXTENSION DOMAINS

Miguel García-Bravo
, Tapio Rajala
, Zheng Zhu

University of Jyväskylä

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that a bi-Lipschitz image of a planar BV -extension domain is also a BV -extension domain, and that a bi-Lipschitz image of a planar W1,1-extension domain is again a W1,1-extension domain.

Original language	English
Pages (from-to)	2535-2543
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	6
DOIs	https://doi.org/10.1090/proc/15878
State	Published - 2022
Externally published	Yes

Keywords

BV-extension
Sobolev extension

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10.1090/proc/15878

Cite this

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title = "BI-LIPSCHITZ INVARIANCE OF PLANAR BV- AND W1,1-EXTENSION DOMAINS",

abstract = "We prove that a bi-Lipschitz image of a planar BV -extension domain is also a BV -extension domain, and that a bi-Lipschitz image of a planar W1,1-extension domain is again a W1,1-extension domain.",

keywords = "BV-extension, Sobolev extension",

author = "Miguel Garc{\'i}a-Bravo and Tapio Rajala and Zheng Zhu",

note = "Publisher Copyright: {\textcopyright} 2022 American Mathematical Society.",

year = "2022",

doi = "10.1090/proc/15878",

language = "英语",

volume = "150",

pages = "2535--2543",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

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TY - JOUR

T1 - BI-LIPSCHITZ INVARIANCE OF PLANAR BV- AND W1,1-EXTENSION DOMAINS

AU - García-Bravo, Miguel

AU - Rajala, Tapio

AU - Zhu, Zheng

PY - 2022

Y1 - 2022

N2 - We prove that a bi-Lipschitz image of a planar BV -extension domain is also a BV -extension domain, and that a bi-Lipschitz image of a planar W1,1-extension domain is again a W1,1-extension domain.

AB - We prove that a bi-Lipschitz image of a planar BV -extension domain is also a BV -extension domain, and that a bi-Lipschitz image of a planar W1,1-extension domain is again a W1,1-extension domain.

KW - BV-extension

KW - Sobolev extension

UR - https://www.scopus.com/pages/publications/85127915103

U2 - 10.1090/proc/15878

DO - 10.1090/proc/15878

M3 - 文章

AN - SCOPUS:85127915103

SN - 0002-9939

VL - 150

SP - 2535

EP - 2543

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 6

ER -

BI-LIPSCHITZ INVARIANCE OF PLANAR BV- AND W1,1-EXTENSION DOMAINS

Abstract

Keywords

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